41201 has 2 divisors, whose sum is σ = 41202. Its totient is φ = 41200.

The previous prime is 41189. The next prime is 41203. The reversal of 41201 is 10214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39601 + 1600 = 199^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 41201 - 2¹⁰ = 40177 is a prime.

Together with 41203, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41201.

It is not a weakly prime, because it can be changed into another prime (41203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20600 + 20601.

It is an arithmetic number, because the mean of its divisors is an integer number (20601).

2⁴¹²⁰¹ is an apocalyptic number.

It is an amenable number.

41201 is a deficient number, since it is larger than the sum of its proper divisors (1).

41201 is an equidigital number, since it uses as much as digits as its factorization.

41201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 41201 is about 202.9802946101. The cubic root of 41201 is about 34.5384294873.

Adding to 41201 its reverse (10214), we get a palindrome (51415).

It can be divided in two parts, 41 and 201, that added together give a palindrome (242).

The spelling of 41201 in words is "forty-one thousand, two hundred one", and thus it is an iban number.